Alladi Ramakrishnan Hall

Classification of Continuous Fields of C* Algebras

Prahlad Vaidyanathan

IISER, Bhopal

A continuous field of C* algebras is a family of C* algebras parametrized over a locally compact Hausdorff space, and are of importance because every separable non-simple C* algebra with a Hausdorff spectrum is a continuous field over its primitive ideal space.

In this talk, we give an introduction to the problem of classifying these objects and understanding homomorphisms between them. We explain the role of the equivariant E-theory group, and present some results that compute this group for a class of continuous fields over the unit interval. As a result, we show that algebras in this class are completely classified by an ideal-related K-theoretic invariant.

This is based on joint work with Marius Dadarlat.